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Simplifying 4v2 + -36vw + 81w2 = 0 Reorder the terms: -36vw + 4v2 + 81w2 = 0 Solving -36vw + 4v2 + 81w2 = 0 Solving for variable 'v'. Factor a trinomial. (2v + -9w)(2v + -9w) = 0Subproblem 1
Set the factor '(2v + -9w)' equal to zero and attempt to solve: Simplifying 2v + -9w = 0 Solving 2v + -9w = 0 Move all terms containing v to the left, all other terms to the right. Add '9w' to each side of the equation. 2v + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 2v + 0 = 0 + 9w 2v = 0 + 9w Remove the zero: 2v = 9w Divide each side by '2'. v = 4.5w Simplifying v = 4.5wSubproblem 2
Set the factor '(2v + -9w)' equal to zero and attempt to solve: Simplifying 2v + -9w = 0 Solving 2v + -9w = 0 Move all terms containing v to the left, all other terms to the right. Add '9w' to each side of the equation. 2v + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 2v + 0 = 0 + 9w 2v = 0 + 9w Remove the zero: 2v = 9w Divide each side by '2'. v = 4.5w Simplifying v = 4.5wSolution
v = {4.5w, 4.5w}
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